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Self-encapsulation, or the 'dripping' of an elastic rod.

Bosi F, Misseroni D, Dal Corso F, Bigoni D - Proc. Math. Phys. Eng. Sci. (2015)

Bottom Line: Dripping seems at a first glance to be impossible and definitely cannot occur in the presence of 'ordinary' constraints (such as simple supports or clamps) at the ends of the span.This phenomenon is indeed demonstrated (both theoretically and experimentally) to occur when at least one of the constraints at the ends of the rod is a sliding sleeve.This mechanical device generates a configurational force, causing the dripping of the rod, in a fully elastic set-up.

View Article: PubMed Central - PubMed

Affiliation: DICAM , University of Trento , via Mesiano 77, Trento 38123, Italy.

ABSTRACT

A rod covering a fixed span is loaded at the middle with a transverse force, such that with increasing load a progressive deflection occurs. After a certain initial deflection, a phenomenon is observed where two points of the rod come in contact with each other. This is defined as the 'dripping point' and is when 'self-encapsulation' of the elastic rod occurs. Dripping seems at a first glance to be impossible and definitely cannot occur in the presence of 'ordinary' constraints (such as simple supports or clamps) at the ends of the span. However, the elastica governs oscillating pendulums, buckling rods and pendant drops, so that a possibility for self-encapsulation might be imagined. This phenomenon is indeed demonstrated (both theoretically and experimentally) to occur when at least one of the constraints at the ends of the rod is a sliding sleeve. This mechanical device generates a configurational force, causing the dripping of the rod, in a fully elastic set-up.

No MeSH data available.


Related in: MedlinePlus

Equilibrium path of the structure sketched in the inset subjected to a concentrated transverse load F and deformed symmetrically. The dimensionless length measuring the amount of elastic rod slipping into the sliding sleeve, Δl/L, (a) and the dimensionless midspan deflection w/l (b) are reported versus the dimensionless applied load FL2/B. The characteristic points of maximum load, load reversal and self-encapsulation are marked on the curves with the letters A, B and C, respectively. Deformed shapes of the elastica are reported in the insets.
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RSPA20150195F5: Equilibrium path of the structure sketched in the inset subjected to a concentrated transverse load F and deformed symmetrically. The dimensionless length measuring the amount of elastic rod slipping into the sliding sleeve, Δl/L, (a) and the dimensionless midspan deflection w/l (b) are reported versus the dimensionless applied load FL2/B. The characteristic points of maximum load, load reversal and self-encapsulation are marked on the curves with the letters A, B and C, respectively. Deformed shapes of the elastica are reported in the insets.

Mentions: The loading path of the elastic rod (deformed symmetrically) is reported in figure 5 in terms of dimensionless applied transverse force FL2/B as a function of the dimensionless length Δl/L, which is the length of rod sliding out of the sleeve, and as a function of the midspan dimensionless deflection w/L.Figure 5.


Self-encapsulation, or the 'dripping' of an elastic rod.

Bosi F, Misseroni D, Dal Corso F, Bigoni D - Proc. Math. Phys. Eng. Sci. (2015)

Equilibrium path of the structure sketched in the inset subjected to a concentrated transverse load F and deformed symmetrically. The dimensionless length measuring the amount of elastic rod slipping into the sliding sleeve, Δl/L, (a) and the dimensionless midspan deflection w/l (b) are reported versus the dimensionless applied load FL2/B. The characteristic points of maximum load, load reversal and self-encapsulation are marked on the curves with the letters A, B and C, respectively. Deformed shapes of the elastica are reported in the insets.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4528666&req=5

RSPA20150195F5: Equilibrium path of the structure sketched in the inset subjected to a concentrated transverse load F and deformed symmetrically. The dimensionless length measuring the amount of elastic rod slipping into the sliding sleeve, Δl/L, (a) and the dimensionless midspan deflection w/l (b) are reported versus the dimensionless applied load FL2/B. The characteristic points of maximum load, load reversal and self-encapsulation are marked on the curves with the letters A, B and C, respectively. Deformed shapes of the elastica are reported in the insets.
Mentions: The loading path of the elastic rod (deformed symmetrically) is reported in figure 5 in terms of dimensionless applied transverse force FL2/B as a function of the dimensionless length Δl/L, which is the length of rod sliding out of the sleeve, and as a function of the midspan dimensionless deflection w/L.Figure 5.

Bottom Line: Dripping seems at a first glance to be impossible and definitely cannot occur in the presence of 'ordinary' constraints (such as simple supports or clamps) at the ends of the span.This phenomenon is indeed demonstrated (both theoretically and experimentally) to occur when at least one of the constraints at the ends of the rod is a sliding sleeve.This mechanical device generates a configurational force, causing the dripping of the rod, in a fully elastic set-up.

View Article: PubMed Central - PubMed

Affiliation: DICAM , University of Trento , via Mesiano 77, Trento 38123, Italy.

ABSTRACT

A rod covering a fixed span is loaded at the middle with a transverse force, such that with increasing load a progressive deflection occurs. After a certain initial deflection, a phenomenon is observed where two points of the rod come in contact with each other. This is defined as the 'dripping point' and is when 'self-encapsulation' of the elastic rod occurs. Dripping seems at a first glance to be impossible and definitely cannot occur in the presence of 'ordinary' constraints (such as simple supports or clamps) at the ends of the span. However, the elastica governs oscillating pendulums, buckling rods and pendant drops, so that a possibility for self-encapsulation might be imagined. This phenomenon is indeed demonstrated (both theoretically and experimentally) to occur when at least one of the constraints at the ends of the rod is a sliding sleeve. This mechanical device generates a configurational force, causing the dripping of the rod, in a fully elastic set-up.

No MeSH data available.


Related in: MedlinePlus